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20192026
most citedHybrid Symplectic Integrators for Planetary Dynamics

146 citations · 257 across the 10 of their papers we have counts for

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9 papers · 1 filter

astro-ph.EP2026

A Coordinate System for Dynamical Instabilities in Hierarchical Systems in REBOUND

Tiger Lu, Garett Brown

We implement coordinates suitable for studying wide binary systems in TRACE, a hybrid integrator in the widely used open-source N-body integration package REBOUND. This is a regime…

astro-ph.EP2025★ 2 cited

On the statistical convergence of N-body simulations of the Solar System

Hanno Rein, Garett Brown, Mei Kanda

Most direct N-body integrations of planetary systems use a symplectic integrator with a fixed timestep. A large timestep is desirable in order to speed up the numerical simulations…

astro-ph.EP2024★ 2 cited

A substellar flyby that shaped the orbits of the giant planets

Garett Brown, Renu Malhotra, Hanno Rein

The modestly eccentric and non-coplanar orbits of the giant planets pose a challenge to solar system formation theories which generally indicate that the giant planets emerged from…

astro-ph.EP2023★ 9 cited

General relativistic precession and the long-term stability of the solar system

Garett Brown, Hanno Rein

The long-term evolution of the solar system is chaotic. In some cases, chaotic diffusion caused by an overlap of secular resonances can increase the eccentricity of planets when th…

astro-ph.EP2022★ 26 cited

On the long-term stability of the Solar System in the presence of weak perturbations from stellar flybys

Garett Brown, Hanno Rein

The architecture and evolution of planetary systems are shaped in part by stellar flybys. Within this context, we look at stellar encounters which are too weak to immediately desta…

astro-ph.EP2020★ 8 cited

A repository of vanilla long term integrations of the Solar System

Garett Brown, Hanno Rein

We share the source code and a 121 GB dataset of 96 long-term N-body simulations of the Solar System. This dataset can be analyzed by itself to study the dynamics of the Solar Syst…

astro-ph.EP2019★ 15 cited

On the accuracy of symplectic integrators for secularly evolving planetary systems

Hanno Rein, Garett Brown, Daniel Tamayo

Symplectic integrators have made it possible to study the long-term evolution of planetary systems with direct N-body simulations. In this paper we reassess the accuracy of such si…

astro-ph.EP2019★ 46 cited

High order symplectic integrators for planetary dynamics and their implementation in REBOUND

Hanno Rein, Daniel Tamayo, Garett Brown

Direct N-body simulations and symplectic integrators are effective tools to study the long-term evolution of planetary systems. The Wisdom-Holman (WH) integrator in particular has…

astro-ph.EP2019★ 146 cited

Hybrid Symplectic Integrators for Planetary Dynamics

Hanno Rein, David M. Hernandez, Daniel Tamayo +6

Hybrid symplectic integrators such as MERCURY are widely used to simulate complex dynamical phenomena in planetary dynamics that could otherwise not be investigated. A hybrid integ…